Answer:
a)0.6192
b)0.7422
c)0.8904
d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then
z(p)=
where
- Me is the margin of error from the mean
- s is the standard deviation of the population
a.
z(p)=
≈ 0.8764
by looking z-table corresponding p value is 1-0.3808=0.6192
b.
z(p)=
≈ 1.1314
by looking z-table corresponding p value is 1-0.2578=0.7422
c.
z(p)=
≈ 1.6
by looking z-table corresponding p value is 1-0.1096=0.8904
d.
Minimum required sample size for 0.95 probability is
N≥
where
- z is the corresponding z-score in 95% probability (1.96)
- s is the standard deviation (50)
- ME is the margin of error (8)
then N≥
≈150.6
Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Answer:
10 feet
Step-by-step explanation:
a^2+b^2=c^2
15^2+B^2=365
225+b^2=365
b^2=100
b=10
Answer:
y=3x+5
Step-by-step explanation:
For this you can use the point-slope formula: y-y1=m(x-x1). Since the line we're looking for is parallel, both slopes are equivalent.
First, you have to rewrite the primary equation into standard form, which would rewrite to y=3-3x or y=-3x+3. Then, you can use the information we have in the point-slope formula:
y-(2)=3(x+1)
y-2=3x+3
y=3x+5
Check:
(2)=3(-1)+5
2=-3+5
2=2
Answer:
The option B is True
Step-by-step explanation:
Solution
nA < nB
Thus
1/√nA > 1/√nB
SD/√nA > SD/√nB
So,
SE (A) > SE (B).......(1)
Zα/2 SE (A) > Zα/2 SE (B)
Now
E (A) > E(B) this is the margin error
Since SE fro sample A is larger than SE for sample B
We have that,
The length = ZE
Therefore, option B is correct because here, we know that as the sample size increases or goes higher the length of the confidence interval decreases
In this case, the sample size is large for B then A.
Thus, the length of confidence interval based on A is larger than the length of confidence interval Based on B Since SE is large For A than B
